Consider a null hypothesis stating that the population mean

Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis

that the population mean is not equal to 52. Assume we have collected 38 sample data from which we

computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample

data appear approximately normal. What is the test statistic

Solution

What is the test statistic

t statistic will be T distribution since the SD is from sample

t = [53.67-52] / 3.84 / srqt(38)

t = 2.681